If f is a differentiable function, find an expression for the derivative of each of the following functions.(a)y = x^3f(x)y'= x2f'(x)2x3f(x)y'= x3f'(x)+3x2f(x) y'= x3f(x)3x2f'(x)y'= x2f'(x)+2x3f(x)y'= x3f(x)+3x2f'(x)(b)y = f(x)/x^9y'= xf'(x)8f(x)x10y'= xf'(x)+8f(x)x9 y'= xf'(x)9f(x)x10y'= xf(x)+9f'(x)x9y'= xf(x)9f'(x)x8(c)y = x^7/ f(x)y'= f(x)(7x6) x7f'(x)[f(x)]2y'= f(x)(6x7)+ x7f'(x)[f(x)]2 y'= f'(x)(7x6) x7f(x)[f(x)]2y'= f'(x)(6x7)+ x6f(x)[f(x)]2y'= f'(x)(6x6) x7f'(x)[f(x)]2(d)y =3+ xf(x)/ square root of xy'= xf'(x)+3x2f(x)22x3/2y'= xf'(x)2x2f'(x)+32x3/2 y'= xf(x)3x2f'(x)+32x3/2y'= xf(x)+3x2f(x)22x3/2y'= xf(x)+2x2f'(x)32x3/2